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Finding the Fourth Proportional to 4,716.96, 6,504.12 and 3,225.66

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Solution

The fourth proportional to 4,716.96, 6,504.12 and 3,225.66 is: 4,447.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,716.96 : 6,504.12 = 3,225.66 : x
  2. Step 2: Convert to fraction form
    4,716.96/6,504.12 = 3,225.66/x
  3. Step 3: Cross multiply
    4,716.96x = 6,504.12 × 3,225.66
  4. Step 4: Simplify right side
    4,716.96x = 20,980,079.72
  5. Step 5: Solve for x
    x = 20,980,079.72/4,716.96
  6. Step 6: Final answer
    x = 4,447.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.